The given equation models the height in feet, h , of a softball t seconds after it is hit by a batter. h is equal to negative 16 t squared plus 105 t plus 3 Why is the height of the ball a function of time?
Answer
A
There is exactly one time at which the maximum height is attained.
B
Each value of time is associated with exactly one height.
C
There is a maximum and minimum height that the ball can reach.
D
Each height of the ball is associated with exactly one moment in time.
Explanation
A function assigns exactly one output to each input. Here, time t is the input, and the equation gives one height h for every time value, so the ball’s height is a function of time. Choice D reverses the relationship: the same height can occur at more than one time.
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